Lie symmetry of a class of nonlinear boundary value problems with free boundaries
arXiv:1211.6282 · doi:10.4064/bc93-0-8
Abstract
A class of (1+1)--dimensional nonlinear boundary value problems (BVPs), modeling the process of melting and evaporation of solid materials, is studied by means of the classical Lie symmetry method. New definition of invariance in Lie's sense for BVP is presented and applied for the class of BVPs in question.
Published version. arXiv admin note: text overlap with arXiv:1012.5606